Stochastic stability and instability of rumor model

被引：0
|
作者：
Zhang, Jing [1 ]
Wang, Xinyao [2 ]
Wang, Xiaohuan [2 ]
机构：
[1] Yellow River Conservancy Tech Inst, Fdn Dept, Kaifeng 475004, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China
来源：
OPEN MATHEMATICS | 2024年 / 22卷 / 01期
关键词：
It & ocirc; 's formula; stochastic rumor model; stability; instability; Lyapunov functions; SPREADING MODEL;
D O I：
10.1515/math-2024-0081
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we present a stochastic rumor model. The stability of the disease-free equilibrium state and instability of the free equilibrium E 0 {E}_{0} of stochastic epidemics model are considered with the help of Lyapunov functions. Sufficient conditions of persistence and extinction of rumor are given. Numerical simulations verify the analytical results.
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页数：12
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